You may not be familiar with the name of eccentric millionaire Dean Kamen, but you will know his most famous invention - the Segway. Kamen has achieved far more in his life than just creating the Segway, but even if he never did anything else, that creation will keep all of his bills paid forever. Kamen paid an eye-wateringly high price of $2.5m for a tiny two-acre island called North Dumpling off the east coast of the USA in 1986. He wanted to build a wind turbine to fuel it, but New York refused to give him permission, so he did the only sensible thing. He declared independence.
Kamen's old friend (and then-serving President) George Bush jokingly signed a treaty of non-aggression between the USA and Dumpling Island, and from there Kamen has created a flag, a miniature replica of Stonehenge, a national anthem, a daily newspaper, and a one-boat navy. Visitors to his island are invited to commemorate the occasion by leaving an imprint of their own buttocks. No, we're not joking!